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Algebraic representations and constructible sheaves (Q2407999)

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Language	Label	Description	Also known as
English	Algebraic representations and constructible sheaves	scientific article

Statements

scholarly article

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Algebraic representations and constructible sheaves (English)

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zbMATH Open document ID

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10.1007/s11537-017-1646-1

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Geordie Williamson

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Japanese Journal of Mathematics. 3rd Series

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publication date

9 October 2017

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full work available at URL

https://arxiv.org/abs/1610.06261

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

survey

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algebraic groups

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representations

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perverse sheaves

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Hecke category

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MaRDI profile type

MaRDI publication profile

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Koszul duality for Kac–Moody groups and characters of tilting modules

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Modular perverse sheaves on flag varieties III: Positivity conditions

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The affine Grassmannian and the Springer resolution in positive characteristic

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Parity sheaves on the affine Grassmannian and the Mirković-Vilonen conjecture

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Modular perverse sheaves on flag varieties I: tilting and parity sheaves

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Modular perverse sheaves on flag varieties. II: Koszul duality and formality.

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Reductive groups, the loop Grassmannian, and the Springer resolution

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A diagrammatic approach to categorification of quantum groups II

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Filtrations and tilting modules

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Sum formulas for reductive algebraic groups.

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Representations of Coxeter groups and Hecke algebras

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A quantum version of the algebra of distributions of \(\mathrm{SL}_2\)

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Perverse sheaves on affine flags and Langlands dual group

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Quantum groups, the loop Grassmannian, and the Springer resolution

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On two geometric realizations of an affine Hecke algebra

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Representations of semisimple Lie algebras in prime characteristic and the noncommutative Springer resolution

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Singular Localization and Intertwining Functors for Reductive Lie Algebras in Prime Characteristic

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Localization of modules for a semisimple Lie algebra in prime characteristic (with an appendix by R. Bezrukavnikov and S. Riche, Computation for \(\text{sl}(3))\)

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Affine braid group actions on derived categories of Springer resolutions

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On the definition of Kac-Moody 2-category

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Limits of Weight Spaces, Lusztig's q-Analogs, and Fiberings of Adjoint Orbits

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Derived equivalence in 𝑆𝐿₂(𝑝²)

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Derived equivalences for symmetric groups and \(\mathfrak{sl}_2\)-categorification.

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Rational and generic cohomology

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On some geometric aspects of Bruhat orderings. II: The parabolic analogue of Kazhdan-Lusztig polynomials

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The blocks of a semisimple algebraic group

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Rational representations of algebraic groups: Tensor products and filtrations

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On tilting modules for algebraic groups

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Soergel calculus

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The Hodge theory of Soergel bimodules.

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Lusztig's conjecture as a moment graph problem

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The multiplicity one case of Lusztig's conjecture.

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Sheaves on affine Schubert varieties, modular representations, and Lusztig’s conjecture

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An upper bound on the exceptional characteristics for Lusztig's character formula

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Parity sheaves, moment graphs and the \(p\)-smooth locus of Schubert varieties

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Semiinfinite Flags. I. Case of global curve $P^1$

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Soergel Calculus and Schubert Calculus

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Sheaf cohomology on G/B and tensor products of Weyl modules

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On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups

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Zur Charakterformel gewisser Darstellungen halbeinfacher Gruppen und Lie-Algebren

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Darstellungen halbeinfacher Gruppen und kontravariante Formen.

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Moduln mit einem höchsten Gewicht

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Character formulae from Hermann Weyl to the present

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On the character of some modular indecomposable tilting modules for \(\text{SL}_3\)

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The p-canonical basis for Hecke algebras

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Decomposition numbers for perverse sheaves

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Parity sheaves and tilting modules

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Based modules and good filtrations in algebraic groups

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Kazhdan-Lusztig conjecture for affine Lie algebras with negative level

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Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. II: Nonintegral case

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On the Kazhdan-Lusztig polynomials for affine Weyl groups

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Monodromic systems on affine flag manifolds

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Tensor Structures Arising from Affine Lie Algebras. I

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Tensor Structures Arising from Affine Lie Algebras. III

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Tensor Structures Arising from Affine Lie Algebras. IV

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A diagrammatic approach to categorification of quantum groups I

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Light leaves and Lusztig's conjecture

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Good filtrations and decomposition rules for representations with standard monomial theory.

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Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras

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On quantum groups

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On the character of certain irreducible modular representations

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On the character of certain tilting modules

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Filtrations of $G$-modules

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Exotic tilting sheaves, parity sheaves on affine Grassmannians, and the Mirković-Vilonen conjecture

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Geometric Langlands duality and representations of algebraic groups over commutative rings

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Perverse sheaves on real loop Grassmannians

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Tilting modules and the p-canonical basis

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The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences

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On the relation between intersection cohomology and representation theory in positive characteristic.

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A reducible characteristic variety in type A

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Local Hodge theory of Soergel bimodules

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On torsion in the intersection cohomology of Schubert varieties

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Schubert calculus and torsion explosion

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Modular intersection cohomology complexes on flag varieties

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Mathematics(1 entry)

mardi Publication:2407999

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